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A Refinement of the Grüss Inequality and Applications

By Pietro Cerone and Sever S Dragomir

Abstract

A sharp refinement of the Grüss inequality in the general setting of measurable spaces and abstract Lebesgue integrals is proven. Some consequential particular inequalities are mentioned

Topics: 0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, Research Group in Mathematical Inequalities and Applications (RGMIA), Grüss inequality, measurable functions, Lebesgue integral, perturbed rules
Publisher: School of Communications and Informatics, Faculty of Engineering and Science, Victoria University of Technology
Year: 2002
OAI identifier: oai:eprints.vu.edu.au:17716
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    Citations

    1. (2002). A note on the perturbed trapezoid inequality,
    2. (2002). Improved weighted Ostrowski-Gr¨ uss type inequalities,
    3. (2001). Improvement of some Ostrowski-Gr¨ uss type inequalities,
    4. (2000). Midpoint-type rules from an inequalities point of view,
    5. (2000). Trapezoid-type rules from an inequalities point of view,

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